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Finding the Fourth Proportional to 462,807.90, 638,679.60 and 271,824.48

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Solution

The fourth proportional to 462,807.90, 638,679.60 and 271,824.48 is: 375,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,807.90 : 638,679.60 = 271,824.48 : x
  2. Step 2: Convert to fraction form
    462,807.90/638,679.60 = 271,824.48/x
  3. Step 3: Cross multiply
    462,807.90x = 638,679.60 × 271,824.48
  4. Step 4: Simplify right side
    462,807.90x = 173,608,750,156.61
  5. Step 5: Solve for x
    x = 173,608,750,156.61/462,807.90
  6. Step 6: Final answer
    x = 375,120.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.